If using the method of completing the square to solve the quadratic equation
x? + 15x + 25 = 0, which number would have to be added to "complete the
square"?

If Using The Method Of Completing The Square To Solve The Quadratic Equationx? + 15x + 25 = 0, Which

Answers

Answer 1

Answer:

31.25

Step-by-step explanation:

The general form of a complete square would be (x + a)^2 + b

Given an equation of X^2 + 15X + 25 = 0,

the idea is to reduce it into the form if (X + C)^2

which can be expanded into X^2 + 2XC + C^2

In this case 15 will be our 2C So our c will be 7.5.

Substituting in these numbers,

We have X^2 + 15X + (7.5)^2 = 0

However our original equation has 25 for its C^2, thus

we need to add 31.25 in order to get (7.5)^2

FYI

The final completed form will be (X + 7.5)^2 - 31.25


Related Questions

Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?​

Answers

Answer:

[tex]\frac{3}{2}[/tex] square feet

Step-by-step explanation:

The dimensions of the photo is 4/5 by 1 7/8 of a foot.

But,

1 7/8 = [tex]\frac{15}{8}[/tex] feet

So that,

length of the photo = [tex]\frac{15}{8}[/tex] feet

width of the photo = [tex]\frac{4}{5}[/tex] feet

The area of the photo = length x width

                                     = [tex]\frac{15}{8}[/tex] x [tex]\frac{4}{5}[/tex]

                                     = [tex]\frac{60}{40}[/tex]

                                     = [tex]\frac{3}{2}[/tex]

Area of the painted photo is [tex]\frac{3}{2}[/tex] square feet.

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Answer: 0.01369863 times per gold

Step-by-step explanation:

convert to a decimal by dividing the numberator by the denominator

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Answer:

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Step-by-step explanation:

the question is in the picture!!​

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9514 1404 393

Answer:

  (b)  ... because of the AA similarity postulate

Step-by-step explanation:

The problem statement tells you that you are showing ∠F≅∠C. We already know that ∠A≅∠D, because they are both marked as right angles. Thus the given mapping results in two of the three angles being shown congruent, allowing you to conclude ...

  ΔABC ~ ΔDEF because of the AA similarity postulate . . . . choice B

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Pentagon..............

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

im viry smort soda ansr iz 21

also fluffy milk horse to brighten everyones day (unless you have a fear of cows, then im sorry)

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

write the ordered pair for each point. PLS! I will give 20 points did correct same goes with brainliest. DO NOT TYPE THAT YOU DON'T KNOW OR I WILL FLAG, REPORT AND GET MAD!

Answers

Answer:

M=(0.75,1.25)

H=(-1.5,-0.5)

D=(1,-1.75)

Step-by-step explanation:

Hope this helps.

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Answers

Answer:

539 cubed for the volume, and the base could be either 77 or 49 squared.

Step-by-step explanation:

7x7x11= 539

7x7 is 49

7x11 equals 77

what operation do you use to convert from a larger measurement unit to a smaller measurement unit?explain why.​

Answers

Answer:

Multiplication

Step-by-step explanation:

To convert from a larger unit to a smaller unit, we multiply. This is because the number will become greater since the unit is smaller.

Example:

1 m ⇒ ×100 ⇒ 100 cm

We use division when converting from a smaller unit to a larger unit since the number will become smaller as the unit becomes greater.

Example:

100 cm ⇒ ÷100 ⇒ 1 m

I hope this helps!

does a/9=25 i dont know

Answers

Answer:

225

Step-by-step explanation:

225 ÷ 9 =25

9 x 5= 225
225/9= 25
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Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenths!

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Answer:

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Step-by-step explanation:

What is 6 less than a number t is 7?

Answers

Answer:

t-6=7

Step-by-step explanation:

Answer:

6-t=7

Step-by-step explanation:

4+4????????/??????//?? PLEASESESERK ALKSDJFKLASDF ASLKDJ FAJSDFJASDJF AJSDF

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Answer:

8

Step-by-step explanation:

❤❤❤❤❤❤❤❤❤❤❤❤❤

Have a great day ❤

Answer:

8

Step-by-step explanation:

YOU'REWELCOMEADFHTGHEFGREEWJUIFGYREHFBNCNBASDFHJLKJHGFDS

HELP FAST!!!!!

Which of the following expressions is equivalent to 6^-7

A: 1/(-6)^-7
B: 1/6^7
C: (-6)^-7
D: 1/6^-7

Answers

Answer:

B. ) 6^-7 = 1/6^7

Step-by-step explanation:

B.) is the only correct one

1. There are 15 students in the art club. They all purchased 4 paintbrushes at $3 each. How many paintbrushes did they purchase?​

Answers

Answer:

60?

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

15x4 equals 60

y= 2x-3
y=-x+9
solve the system of linear equations by graphing

Answers

Answer:

x=4 or -4

y=5

Step-by-step explanation:

2x-3=x+9

=3x=12

=x=12/3

x=4( could also be -4)

y=(4x2)-3

y=5

I need help. correct answer gets brainliest

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Equation? It would be math problem
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J.V. Lin is an Olympic athlete competing in the women's javelin throw. The distances of her successful throws (in meters) are normally distributed with mean distance 60 meters and standard deviation 4 meters. (Round to the nearest percent and enter each of your answers as a whole number between 0 and 100.) (a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance? probability = ________%(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw? probability _______%

Answers

Answer:

a) 50%

b) 5%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean distance 60 meters and standard deviation 4 meters.

This means that [tex]\mu = 60, \sigma = 4[/tex]

(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?

This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 60}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

1 - 0.5 = 0.5

0.5*100% = 50%

50% probability.

(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?

This is 1 subtracted by the pvalue of Z when X = 66.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 60}{4}[/tex]

[tex]Z = 1.63[/tex]

[tex]Z = 1.63[/tex] has a pvalue of 0.95

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0.05*100% = 5%

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Answers

Answer:

6.24

Step-by-step explanation:

To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.

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Answer:

C

Step-by-step explanation:

or the third down from the top. Count the sides and multiply by how many layers

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Answers

Answer:

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pls Mark as brainliest

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Answers

52° is your answer :)

Ms. Grayson has budgeted $6500 for a computer lab in her school.
Each new computer costs $750, and each new computer table costs
$60. If Ms. Grayson buys 8 new computers, which inequality can be
used to find t, the number of new tables she can buy?
A. 8(750 + 60) s 6500
B. 8(750t) + 60 S 6500
C. 750 + 60t s 6500
D. 8(750) + 60t s 6500

Answers

Answer:

c.750+60t s6500

this is the correct one

Use the Distributive Property to
REWRITE 6x(2y - 4x + 1)

Answers

Answer:

−24x2+12xy+6x

Step-by-step explanation:

6x(2y−4x+1)

=(6x)(2y+−4x+1)

=(6x)(2y)+(6x)(−4x)+(6x)(1)

=12xy−24x2+6x

HELP please :)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!asap

Answers

Answer:

B

Step-by-step explanation:

7100-3100

not sure though

Brainless brainless brainless

Karim began his day by drinking 1 1/8

cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3

cups of milk.


Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

A. 1⅛ + m = 2⅔

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

[tex] m = 1\frac{13}{24} [/tex]

Find the 96th term of the arithmetic sequence-30,-32,34

Answers

Answer:

a = -30

d = -32 - (-30) = -2

n = 96

So, using A.P. formula-

Tn = a + (n-1) d

T96 = -30 + (96-1) -2

T96 = -30 + (95) -2

T96 = -30 - 190

T96 = -220

plz mark as brainliest

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